Question

bluebonnet learning k-5 math
name

1. $12 \times 6 + 5 \times 3 - 10$

a. what is the first step?
b. what is the second step?
c. evaluate.

Explanation:

Part a

Step1: Recall Order of Operations

In the order of operations (PEMDAS/BODMAS), multiplication is done before addition and subtraction. So we first identify the multiplication operations in the expression \(12\times6 + 5\times3-10\).

Step2: Perform First Multiplication

The first multiplication is \(12\times6\). Calculating this, we get \(12\times6 = 72\). Also, we can note that the other multiplication is \(5\times3\), but for the first step, we start with the left - most multiplication or any multiplication operation. So the first step is to calculate \(12\times6\) (or \(5\times3\), but typically we go left to right for operations of the same precedence).

Step1: After First Multiplication

After performing the first multiplication (either \(12\times6 = 72\) or \(5\times3 = 15\)), we perform the remaining multiplication. If we did \(12\times6\) first, the next multiplication is \(5\times3\). If we did \(5\times3\) first, the next multiplication is \(12\times6\).

Step2: Perform Second Multiplication

Calculating the second multiplication: if we first did \(12\times6 = 72\), then \(5\times3=15\); if we first did \(5\times3 = 15\), then \(12\times6 = 72\). So the second step is to calculate the remaining multiplication.

Step1: Perform Multiplications

First, calculate the multiplications in the expression \(12\times6+5\times3 - 10\).
\(12\times6=72\) and \(5\times3 = 15\).

Step2: Perform Addition

Now, add the results of the multiplications: \(72 + 15=87\).

Step3: Perform Subtraction

Subtract 10 from the result of the addition: \(87-10 = 77\).

Answer:

Calculate the multiplications, starting with \(12\times6\) (or \(5\times3\); following order of operations, multiplication is first. So first step: \(12\times6 = 72\) (or \(5\times3=15\))

Part b